A transposed delay line oscillator including a mode selection filter and a transposed delay line is provided. An output of the transposed delay line is coupled to an input of the mode selection filter to establish an oscillator loop. Based on the transposed delay line output, the mode selection filter generates a mode selection signal including an isolated oscillatory mode, in a Radio Frequency (RF) band. The transposed delay line receives the mode selection signal for transposition to an intermediate frequency of an intermediate frequency (IF) delay line. The IF delay line includes a delay filter and a phase noise suppression loop configured to suppress de-correlated transposition phase noise resulting from a delay of the delay filter. Suppression of phase noise in the IF delay line enables cancellation of transposition phase noise when transposing the IF delay line output to the RF band.

Disclosed herein are systems and methods for linearizing frequency chirp in a frequency-modulated continuous wave (FMCW) coherent LiDAR system. Exemplary methods can include generating a continuous wave laser signal having a frequency characteristic, in which the frequency characteristic can include a frequency chirp over a frequency band in at least one period; and receiving a signal based on the generated laser signal. The methods can further include mixing the received signal with a local oscillator signal, the local oscillator signal having the frequency characteristic; determining at least one beat frequency based on the mixed signal; sampling the mixed signal at a rate equal to at least two times the beat frequency; determining a correction signal based on the sampled signal; and applying the correction signal to the laser signal.

A Fourier domain mode-locked optoelectronic oscillator includes a laser light source, a phase modulator, an optical notch filter, a photodetector, an electrical amplifier and a power divider; wherein the laser light source, the phase modulator, the optical notch filter and the photodetector together form a swept microwave photonic filter. The passband of the swept microwave photonic filter is determined by the difference in wavelength corresponding to the laser light source and the notch positions of the optical notch filter. In the present disclosure, the laser light source, the phase modulator, the optical notch filter, and the photodetector are configured to form a fast swept microwave photonic filter, the sweeping of a passband of the microwave photonic filter is realized by the sweeping of the laser light source or the optical notch filter, and the change in the filter's passband is matched with the latency for delivering a signal in the optoelectronic oscillator loop for one trip. As such, Fourier domain mode locking is realized, and a broadband adjustable chirped microwave signal can be output.

A Fourier domain mode-locked optoelectronic oscillator includes a laser light source, a phase modulator, an optical notch filter, a photodetector, an electrical amplifier and a power divider; wherein the laser light source, the phase modulator, the optical notch filter and the photodetector together form a swept microwave photonic filter. The passband of the swept microwave photonic filter is determined by the difference in wavelength corresponding to the laser light source and the notch positions of the optical notch filter. In the present disclosure, the laser light source, the phase modulator, the optical notch filter, and the photodetector are configured to form a fast swept microwave photonic filter, the sweeping of a passband of the microwave photonic filter is realized by the sweeping of the laser light source or the optical notch filter, and the change in the filter's passband is matched with the latency for delivering a signal in the optoelectronic oscillator loop for one trip. As such, Fourier domain mode locking is realized, and a broadband adjustable chirped microwave signal can be output.

A transposed delay line oscillator including a mode selection filter and a transposed delay line is provided. An output of the transposed delay line is coupled to an input of the mode selection filter to establish an oscillator loop. Based on the transposed delay line output, the mode selection filter generates a mode selection signal including an isolated oscillatory mode, in a Radio Frequency (RF) band. The transposed delay line receives the mode selection signal for transposition to an intermediate frequency of an intermediate frequency (IF) delay line. The IF delay line includes a delay filter and a phase noise suppression loop configured to suppress de-correlated transposition phase noise resulting from a delay of the delay filter. Suppression of phase noise in the IF delay line enables cancellation of transposition phase noise when transposing the IF delay line output to the RF band.

An optoelectronic oscillator (OEO) including a drift compensation circuit is provided. The OEO includes a set of optical domain components communicatively coupled with a set of RF domain components. The RF domain components include a mode selection filter, a phase locked loop (PLL) and a drift compensation circuit communicatively coupled between the mode selection filter and the PLL. The mode selection filter provides a mode selection result to the drift compensation circuit. The drift compensation circuit phase modulates the mode selection result in a vector based coordinate system to maintain a drift compensated mode selection result within a locking bandwidth of the PLL, and to minimize phase shifting from accumulating phase drift. The PLL detects a phase difference between the drift compensated mode selection result and a reference signal, for use in maintaining the PLL in a phase lock with the reference signal, in particular over wide operational temperature ranges.

An optoelectronic oscillator (OEO) including a drift compensation circuit is provided. The OEO includes a set of optical domain components communicatively coupled with a set of RF domain components. The RF domain components include a mode selection filter, a phase locked loop (PLL) and a drift compensation circuit communicatively coupled between the mode selection filter and the PLL. The mode selection filter provides a mode selection result to the drift compensation circuit. The drift compensation circuit phase modulates the mode selection result in a vector based coordinate system to maintain a drift compensated mode selection result within a locking bandwidth of the PLL, and to minimize phase shifting from accumulating phase drift. The PLL detects a phase difference between the drift compensated mode selection result and a reference signal, for use in maintaining the PLL in a phase lock with the reference signal, in particular over wide operational temperature ranges.

An oscillator circuit includes an oscillating circuit coupled to a vibrator, and a control circuit that controls the oscillating circuit. The oscillator circuit has a normal operation mode in which the oscillating circuit oscillates in a state where a negative resistance value is a first value, and a start mode in which the oscillator circuit shifts from a state where oscillation is stopped to the normal operation mode. In the start mode, the control circuit controls the negative resistance value to increase from a second value which is smaller than the first value.

An oscillator circuit includes an oscillating circuit coupled to a vibrator, and a control circuit that controls the oscillating circuit. The oscillator circuit has a normal operation mode in which the oscillating circuit oscillates in a state where a negative resistance value is a first value, and a start mode in which the oscillator circuit shifts from a state where oscillation is stopped to the normal operation mode. In the start mode, the control circuit controls the negative resistance value to increase from a second value which is smaller than the first value.

An atomic oscillator includes a gas cell, a semiconductor laser, and a frequency modulation signal generation section (such as a frequency transform circuit) which generates a frequency modulation signal for causing the semiconductor laser to generate frequency-modulated light including a resonance light pair (first-order sideband light pair) that causes an electromagnetically induced transparency phenomenon in metal atoms. When a modulation index of the frequency modulation signal, by which a first-order differential value of oscillation frequency deviation of the atomic oscillator becomes 0, is regarded as a first modulation index, the modulation index is within a range between a second modulation index, which is smaller than the first modulation index, with which the oscillation frequency deviation is 0 and a third modulation index, which is greater than the first modulation index, with which the oscillation frequency deviation is 0.